Harmonic analysis has been an efficient tool in control theory for a long time, see, e.g., Russell [D.L. Russell, Controllability and stabilizability theory for linear partial differential equations. Recent progress and open questions, SIAM Rev. 20 (1978) 639-739] and its numerous references, Here we establish discrete Ingham type and Haraux type inequalities for exponential SLIMS satisfying a weakened gal) condition. They enable Lis to obtain discrete simultaneous observability theorems for systems of vibrating strings or beams. (c) 2008 Elsevier Inc. All rights reserved.
Discrete Ingham type inequalities and simultaneous observability of strings or beams / Vilmos, Komornik; Loreti, Paola. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 351:1(2009), pp. 16-28. [10.1016/j.jmaa.2008.09.027]
Discrete Ingham type inequalities and simultaneous observability of strings or beams
LORETI, Paola
2009
Abstract
Harmonic analysis has been an efficient tool in control theory for a long time, see, e.g., Russell [D.L. Russell, Controllability and stabilizability theory for linear partial differential equations. Recent progress and open questions, SIAM Rev. 20 (1978) 639-739] and its numerous references, Here we establish discrete Ingham type and Haraux type inequalities for exponential SLIMS satisfying a weakened gal) condition. They enable Lis to obtain discrete simultaneous observability theorems for systems of vibrating strings or beams. (c) 2008 Elsevier Inc. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.